Efficient computation of capillary-gravity generalized solitary waves

Abstract

This paper is devoted to the computation of capillary-gravity solitary waves of the irrotational incompressible Euler equations with free surface. The numerical study is a continuation of a previous work in several points: an alternative formulation of the Babenko-type equation for the wave profiles, a detailed description of both the numerical resolution and the analysis of the internal flow structure under a solitary wave. The numerical code used in this study is provided in open source for those interested readers.

Keywords

Bibliographic record

BibTeX Citation

@article{Dutykh2016efficientcomputation,
  author = {Dutykh, D. and Clamond, D. and Durán, A.},
  title = {Efficient computation of capillary-gravity generalized solitary waves},
  journal = {Wave Motion},
  year = {2016},
  volume = {65},
  pages = {1--16},
  doi = {10.1016/j.wavemoti.2016.04.007},
  abstract = {This paper is devoted to the computation of capillary-gravity solitary waves of the irrotational incompressible Euler equations with free surface. The numerical study is a continuation of a previous work in several points: an alternative formulation of the Babenko-type equation for the wave profiles, a detailed description of both the numerical resolution and the analysis of the internal flow structure under a solitary wave. The numerical code used in this study is provided in open source for those interested readers.},
  keywords = {generalised solitary waves, capillary-gravity waves, Euler equations, Solitary surface waves}
}